#include <bits/stdc++.h>
using namespace std;
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
template<typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<typename T, typename U> using ordered_map = tree<T, U, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
typedef vector<int> vi;
typedef vector<ll> vll;
#define FOR(i,j,k,in) for(int i=(j); i < (k);i+=in)
#define FORD(i,j,k,in) for(int i=(j); i >=(k);i-=in)
#define REP(i,b) FOR(i,0,b,1)
#define REPD(i,b) FORD(i,b,0,1)
#define pb push_back
#define mp make_pair
#define ff first
#define ss second
#define all(x) begin(x), end(x)
#define MANY_TESTS int tcase; cin >> tcase; while(tcase--)
const double EPS = 1e-9;
const int MOD = 1e9+7;
const ll INFF = 1e18;
const int INF = 1e9;
const ld PI = acos((ld)-1);
const vi dy = {1, 0, -1, 0, -1, 1, 1, -1};
const vi dx = {0, 1, 0, -1, -1, 1, -1, 1};
void DBG(){cout << "]" << endl;}
template<typename T, typename ...U> void DBG(const T& head, const U... args){ cout << head << "; "; DBG(args...); }
#define dbg(...) cout << "Line(" << __LINE__ << ") -> [" << #__VA_ARGS__ << "]: [", DBG(__VA_ARGS__);
#define chk() cout << "Check at line(" << __LINE__ << ") hit." << endl;
template<class T, unsigned int U>
ostream& operator<<(ostream& out, const array<T, U> &v){out << "["; REP(i, U) out << v[i] << ", "; out << "]"; return out;}
template <class T, class U>
ostream& operator<<(ostream& out, const pair<T, U> &par) {out << "[" << par.first << ";" << par.second << "]"; return out;}
template <class T>
ostream& operator<<(ostream& out, const set<T> &cont) { out << "{"; for( const auto &x:cont) out << x << ", "; out << "}"; return out; }
template <class T, class U>
ostream& operator<<(ostream& out, const map<T, U> &cont) {out << "{"; for( const auto &x:cont) out << x << ", "; out << "}"; return out; }
template<class T>
ostream& operator<<(ostream& out, const vector<T> &v){ out << "["; REP(i, v.size()) out << v[i] << ", "; out << "]"; return out;}
template<class T>
istream& operator>>(istream& in, vector<T> &v){ for(auto &x : v) in >> x; return in; }
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL); cout.tie(NULL);
int n, q;
cin >> n >> q;
vector<ll> d(n);
cin >> d;
FOR(i, 1, n, 1){
d[i] = (d[i] % d[i - 1] == 0 ? d[i] : (d[i] / d[i - 1] + 1) * d[i - 1]);
}
auto get = [&](int i, ll t){
return (t - t % d[i] - (i + 1));
};
REP(i, q){
ll t, l, r;
cin >> t >> l >> r;
int lo = 0;
int hi = n - 1;
int anshi = -1;
while(lo <= hi){
int mid = (lo + hi) >> 1;
ll tm = get(mid, t);
if(tm >= l && tm <= r){
anshi = max(anshi, mid);
lo = mid + 1;
}
if(tm < l){
hi = mid - 1;
}
if(tm > r){
lo = mid + 1;
}
}
int anslo = INF;
lo = 0;
hi = n - 1;
while(lo <= hi){
int mid = (lo + hi) >> 1;
ll tm = get(mid, t);
if(tm >= l && tm <= r){
anslo = min(anslo, mid);
hi = mid - 1;
}
if(tm < l){
hi = mid - 1;
}
if(tm > r){
lo = mid + 1;
}
}
//ioichan
if(anshi == -1){
if(t >= l && t <= r)
cout << 1 << "\n";
else
cout << 0 << "\n";
}
else{
if(t >= l && t <= r)
cout << anshi - anslo + 2 << "\n";
else
cout << anshi - anslo + 1 << "\n";
}
}
return 0;
}
